67452 has 48 divisors (see below), whose sum is σ = 198912. Its totient is φ = 17280.

The previous prime is 67447. The next prime is 67453. The reversal of 67452 is 25476.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67453) by changing a digit.

67452 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (4144).

2⁶⁷⁴⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99456).

67452 is an abundant number, since it is smaller than the sum of its proper divisors (131460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67452 is a wasteful number, since it uses less digits than its factorization.

67452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 67452 is about 259.7152286640. The cubic root of 67452 is about 40.7066106977.

Adding to 67452 its sum of digits (24), we get a palindrome (67476).

The spelling of 67452 in words is "sixty-seven thousand, four hundred fifty-two".